A school drama department sells 40 more student tickets than adult tickets. Charging 8 dollars for adult tickets and 6 dollars for student tickets, the drama department raises a total of 1 dollars comma 920 in ticket sales. Let x represent the number of adult tickets sold and y represent the number of student tickets sold. Which system of equations can be used to find how many of each ticket is sold?
Answer
A
the 2 by 1 column matrix row 1 x is equal to 40 plus y row 2 8 x plus 6 y is equal to 1920
B
the 2 by 1 column matrix row 1 y is equal to 40 minus x row 2 8 x plus 6 y is equal to 1920
C
the 2 by 1 column matrix row 1 x is equal to 40 minus y row 2 8 x plus 6 y is equal to 1920
D
the 2 by 1 column matrix row 1 y is equal to 40 plus x row 2 8 x plus 6 y is equal to 1920
Explanation
Let x be adult tickets and y be student tickets. Since there are 40 more student tickets than adult tickets, y = x + 40; ticket sales total 8x + 6y = 1,920 because adult tickets cost $8 and student tickets cost $6. These equations match choice D.
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